Two-dimensional scattering of electromagnetic waves from a permeable inclusion in an anisotropic medium

A Rapidly-Convergent, Mixed-Partial Derivative Boundary Condition Green's Function for an Anisotropic Half-Space: Perfect Conductor Case

“…[4][5][6][7][8][9] the anisotropic media was spatially homogeneous and translationally invariant. In references [12][13][14] Monzon used the same principles as he had developed in Refs [2,3] to derive Green's functions and study EM scattering from anisotropic systems in the much more difficult and complicated case when the anisotropic system was cylindrically, rotationally invariant with respect to the zaxis rather than translationally invariant.…”

“…Ref. [6] derived the anisotropic Green's function for the complicated case when an anisotropic layer was bounded by free space above the layer and bounded by a dielectric substrate below the layer. The Green's function for this system in [6] was used to study plane wave scattering from an anisotropic inclusion when the inclusion was embedded in the anisotropic layer.…”

“…[7] (an earlier work than Refs. [4][5][6]), the mathematical techniques (such as integration of Sommerfeld integrals in the complex plane) used to derive the Green's functions in [4][5][6] were described. Ref.…”

“…This is an important problem because calculation of the Green's function itself is the key step from which an integral equation of the system may be formulated and from which a MoM matrix solution may be implemented. Because in anisotropic media, the different EM field components may be coupled together in a complicated way, the Green's function, meeting specific boundary conditions can be a difficult problem to solve [1][2][3][4][5][6][7].…”

“…In Refs. [4][5][6], the Green's function was derived by using a k-space or plane wave spectral approach and the Green's function were derived directly from Maxwell's anisotropic equations without using the simplifying linear transformation as was introduced by Monzon [2]. In Ref.…”